Distribution Retrieval of Both Depth and Reflectivity in 3-D Objects via Using Modulated Single Pixel Imaging

Abstract

3-D objects are illustrated in terms of depth and reflectivity, and these parameters are usually detected by different devices. A modulated single pixel imaging (MSI) method is introduced for simultaneous detections of both depth and reflectivity in 3-D targets. Two modulations for spatial resolution and noise immunity are realized by operations of a digital-micro-mirror device (DMD) and emitted laser amplitude. Laser intensities are modulated at a high frequency up to 100 MHz and demodulated for their amplitude and phase shift. Modulated laser is reflected by the imaged object and collected by a single photodetector. The imaging model is termed as a minimization problem and solved by a proposed modified log-barrier method at optimal iteration steps. The proposed method yields faster convergence and fewer steps of about a half of that used in the typical line-searching method. Two mirrors were positioned in parallel to fabricate a 3-D phantom. The distributions of both depth and surface reflectivity of these mirrors are well reconstructed. Both simulated and experiment data verified the efficacy of proposed MSI on 3-D objects.